Determine the AP whose third term is 16 and the 7 term exceeds the 5th term by 12
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Given- AP whose third term is 16 and the 7 term exceeds the 5th term by 12
3rd term = a+ (n-1)d = a+2d= 16
7th term = a+6d
5th term = a+4d
7th term- 5th term = 12
2d =12
d = 6
Now, a= 16- 2*6 = 4
hence, a=4 and d=6
So, the terms of A.P
4,10,16,22,28,34,40,46,52..........
3rd term = a+ (n-1)d = a+2d= 16
7th term = a+6d
5th term = a+4d
7th term- 5th term = 12
2d =12
d = 6
Now, a= 16- 2*6 = 4
hence, a=4 and d=6
So, the terms of A.P
4,10,16,22,28,34,40,46,52..........
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Heya mate !! see ur ans.
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